I was experimenting with discretizations of the gyroid minimal surface in Rhino (3d modelling software), and modelled this infinite polyhedron, and wondered what it is called.
I didn't find any documentation of it yet, but perhaps I am not searching for the right terms. All its faces are the same isosceles triangle (with angles of approx. 56.8°, 56.8°, 66.4°), and it has 2 types of vertices (with either 6 or 8 surrounding faces):
Applying Loop subdivision to this mesh gives a good approximation of the gyroid periodic minimal surface.
I found some other examples of infinite polyhedra with gyroid topology here:
but so far nothing with the same polyhedron as in my model.